How do we add and subtract rational expressions

The video tutorial explains how to add and subtract rational expressions, focusing on finding common denominators and simplifying expressions. It begins with a review of adding fractions, then transitions to rational expressions involving polynomials. The tutorial covers combining like terms and provides examples of handling expressions with different denominators, emphasizing the importance of simplification.

What is the first step when adding fractions with different denominators?

• Subtract the numerators

• Add the denominators

• Find a common denominator

• Multiply the numerators

When adding polynomials, what must be true about the terms you are combining?

• They must be in different denominators

• They must be constants

• They must have the same variable factors

• They must have the same coefficients

In the expression 3x^2/2x + 2y/3x^2 + y^2/3x^2, why can't the numerators be combined?

• They are already simplified

• They have different coefficients

• They have different variable factors

• They have different denominators

What is the Least Common Denominator (LCD) for the expression X + 1 - 2/X + 2?

• X + 1

• X - 2

• X + 2

• X + 1 * X + 2

Which method is used to simplify the numerators after finding a common denominator?

• Distributive property and FOIL

• Cross-multiplication

• Subtracting the numerators

• Adding the denominators